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Finding the Fourth Proportional to 481.38, 718.55 and 413.34

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Solution

The fourth proportional to 481.38, 718.55 and 413.34 is: 616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.38 : 718.55 = 413.34 : x
  2. Step 2: Convert to fraction form
    481.38/718.55 = 413.34/x
  3. Step 3: Cross multiply
    481.38x = 718.55 × 413.34
  4. Step 4: Simplify right side
    481.38x = 297,005.46
  5. Step 5: Solve for x
    x = 297,005.46/481.38
  6. Step 6: Final answer
    x = 616.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.